Finite groups in which the centralizer of every minimal subgroup is cyclic.

DOI10.3318/PRIA.2013.113.01zbMATH Open1300.20028OpenAlexW3146611798MaRDI QIDQ2861059

Jiangtao Shi

Publication date: 11 November 2013

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3318/pria.2013.113.01

zbMATH Keywords

finite groupsminimal subgroupscyclic centralizers

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (1)

Title not available (Why is that?)

Recommendations

• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Finite \(p\)-groups which contain a self-centralizing cyclic normal subgroup. 👍 👎
• Finite groups in which primary subgroups have cyclic cofactors. 👍 👎
• Groups Whose Infinite Subgroups are Centralizers 👍 👎
• Finite Groups With a Certain Number of Cyclic Subgroups 👍 👎
• Finite Groups Whose Minimal Subgroups arec-Supplemented 👍 👎
• FINITE p-GROUPS WHOSE NON-CENTRAL CYCLIC SUBGROUPS HAVE CYCLIC QUOTIENT GROUPS IN THEIR CENTRALIZERS 👍 👎
• GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER 👍 👎
• Finite Groups with Central Automorphism Group of Minimal Order 👍 👎

This page was built for publication: Finite groups in which the centralizer of every minimal subgroup is cyclic.

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2861059)